Question

An ac ammeter is used to measure current in a circuit. When a given direct current passes through the circuit, the ac ammeter reads 3 A. When another alternating current passes through the circuit, the ac ammeter reads 4 A. Then find the reading of this ammeter (in A), if dc and ac flow through the circuit simultaneously.

Moderate

Solution

$Netcurrent:I=3+4\sqrt{2}\mathrm{sin}\omega t$

$Nowfind{I}_{v}=\sqrt{\frac{{\displaystyle \underset{0}{\overset{T}{\int}}{(3+4\sqrt{2}sin\omega t)}^{2}dt}}{T}=5A}$

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A current is made up of two components 3A DC component and AC component given by $I=4\mathrm{sin}\omega t$. The effective value of current is

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